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        Module&nbsp;mf
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<h1 class="epydoc">Source Code for <a href="peach.fuzzy.mf-module.html">Module peach.fuzzy.mf</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"># Peach - Computational Intelligence for Python</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-comment"># Jose Alexandre Nalon</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-comment"># This file: fuzzy/mf.py</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-comment"># Membership functions for fuzzy logic</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-comment"># Doc string, reStructuredText formatted:</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt id="link-0" class="py-name" targets="Variable peach.__doc__=peach-module.html#__doc__,Variable peach.fuzzy.__doc__=peach.fuzzy-module.html#__doc__,Variable peach.fuzzy.base.__doc__=peach.fuzzy.base-module.html#__doc__,Variable peach.fuzzy.cmeans.__doc__=peach.fuzzy.cmeans-module.html#__doc__,Variable peach.fuzzy.control.__doc__=peach.fuzzy.control-module.html#__doc__,Variable peach.fuzzy.defuzzy.__doc__=peach.fuzzy.defuzzy-module.html#__doc__,Variable peach.fuzzy.mf.__doc__=peach.fuzzy.mf-module.html#__doc__,Variable peach.fuzzy.norms.__doc__=peach.fuzzy.norms-module.html#__doc__,Variable peach.ga.__doc__=peach.ga-module.html#__doc__,Variable peach.ga.base.__doc__=peach.ga.base-module.html#__doc__,Variable peach.ga.chromosome.__doc__=peach.ga.chromosome-module.html#__doc__,Variable peach.ga.crossover.__doc__=peach.ga.crossover-module.html#__doc__,Variable peach.ga.fitness.__doc__=peach.ga.fitness-module.html#__doc__,Variable peach.ga.mutation.__doc__=peach.ga.mutation-module.html#__doc__,Variable peach.ga.selection.__doc__=peach.ga.selection-module.html#__doc__,Variable peach.nn.__doc__=peach.nn-module.html#__doc__,Variable peach.nn.af.__doc__=peach.nn.af-module.html#__doc__,Variable peach.nn.base.__doc__=peach.nn.base-module.html#__doc__,Variable peach.nn.kmeans.__doc__=peach.nn.kmeans-module.html#__doc__,Variable peach.nn.lrules.__doc__=peach.nn.lrules-module.html#__doc__,Variable peach.nn.mem.__doc__=peach.nn.mem-module.html#__doc__,Variable peach.nn.nnet.__doc__=peach.nn.nnet-module.html#__doc__,Variable peach.nn.rbfn.__doc__=peach.nn.rbfn-module.html#__doc__,Variable peach.optm.__doc__=peach.optm-module.html#__doc__,Variable peach.optm.base.__doc__=peach.optm.base-module.html#__doc__,Variable peach.optm.linear.__doc__=peach.optm.linear-module.html#__doc__,Variable peach.optm.multivar.__doc__=peach.optm.multivar-module.html#__doc__,Variable peach.optm.quasinewton.__doc__=peach.optm.quasinewton-module.html#__doc__,Variable peach.optm.stochastic.__doc__=peach.optm.stochastic-module.html#__doc__,Variable peach.pso.__doc__=peach.pso-module.html#__doc__,Variable peach.pso.acc.__doc__=peach.pso.acc-module.html#__doc__,Variable peach.pso.base.__doc__=peach.pso.base-module.html#__doc__,Variable peach.sa.__doc__=peach.sa-module.html#__doc__,Variable peach.sa.base.__doc__=peach.sa.base-module.html#__doc__,Variable peach.sa.neighbor.__doc__=peach.sa.neighbor-module.html#__doc__"><a title="peach.__doc__
peach.fuzzy.__doc__
peach.fuzzy.base.__doc__
peach.fuzzy.cmeans.__doc__
peach.fuzzy.control.__doc__
peach.fuzzy.defuzzy.__doc__
peach.fuzzy.mf.__doc__
peach.fuzzy.norms.__doc__
peach.ga.__doc__
peach.ga.base.__doc__
peach.ga.chromosome.__doc__
peach.ga.crossover.__doc__
peach.ga.fitness.__doc__
peach.ga.mutation.__doc__
peach.ga.selection.__doc__
peach.nn.__doc__
peach.nn.af.__doc__
peach.nn.base.__doc__
peach.nn.kmeans.__doc__
peach.nn.lrules.__doc__
peach.nn.mem.__doc__
peach.nn.nnet.__doc__
peach.nn.rbfn.__doc__
peach.optm.__doc__
peach.optm.base.__doc__
peach.optm.linear.__doc__
peach.optm.multivar.__doc__
peach.optm.quasinewton.__doc__
peach.optm.stochastic.__doc__
peach.pso.__doc__
peach.pso.acc.__doc__
peach.pso.base.__doc__
peach.sa.__doc__
peach.sa.base.__doc__
peach.sa.neighbor.__doc__" class="py-name" href="#" onclick="return doclink('link-0', '__doc__', 'link-0');">__doc__</a></tt> <tt class="py-op">=</tt> <tt class="py-docstring">"""</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring">Membership functions</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">Membership functions are actually subclasses of a main class called Membership,</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring">see below. Instantiate a class to generate a function, optional arguments can be</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-docstring">specified to configure the function as needed. For example, to create a triangle</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"><tt class="py-docstring">function starting at 0, with peak in 3, and ending in 4, use::</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-docstring">    mu = Triangle(0, 3, 4)</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-docstring">Please notice that the return value is a *function*. To use it, apply it as a</tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-docstring">normal function. For example, the function above, applied to the value 1.5</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-docstring">should return 0.5::</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; print mu(1.5)</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"><tt class="py-docstring">    0.5</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">numpy</tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt id="link-1" class="py-name" targets="Variable peach.fuzzy.control.exp=peach.fuzzy.control-module.html#exp,Variable peach.nn.mem.exp=peach.nn.mem-module.html#exp,Variable peach.nn.nnet.exp=peach.nn.nnet-module.html#exp,Variable peach.nn.rbfn.exp=peach.nn.rbfn-module.html#exp"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-1', 'exp', 'link-1');">exp</a></tt><tt class="py-op">,</tt> <tt id="link-2" class="py-name" targets="Variable peach.fuzzy.control.cos=peach.fuzzy.control-module.html#cos"><a title="peach.fuzzy.control.cos" class="py-name" href="#" onclick="return doclink('link-2', 'cos', 'link-2');">cos</a></tt><tt class="py-op">,</tt> <tt id="link-3" class="py-name" targets="Variable peach.fuzzy.control.pi=peach.fuzzy.control-module.html#pi,Variable peach.nn.mem.pi=peach.nn.mem-module.html#pi,Variable peach.nn.nnet.pi=peach.nn.nnet-module.html#pi,Variable peach.nn.rbfn.pi=peach.nn.rbfn-module.html#pi"><a title="peach.fuzzy.control.pi
peach.nn.mem.pi
peach.nn.nnet.pi
peach.nn.rbfn.pi" class="py-name" href="#" onclick="return doclink('link-3', 'pi', 'link-3');">pi</a></tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">types</tt> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line"> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-4" class="py-name" targets="Module peach.fuzzy.base=peach.fuzzy.base-module.html,Module peach.ga.base=peach.ga.base-module.html,Module peach.nn.base=peach.nn.base-module.html,Module peach.optm.base=peach.optm.base-module.html,Module peach.pso.base=peach.pso.base-module.html,Module peach.sa.base=peach.sa.base-module.html"><a title="peach.fuzzy.base
peach.ga.base
peach.nn.base
peach.optm.base
peach.pso.base
peach.sa.base" class="py-name" href="#" onclick="return doclink('link-4', 'base', 'link-4');">base</a></tt> <tt class="py-keyword">import</tt> <tt class="py-op">*</tt> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line"> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line"> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line"><tt class="py-comment"># Membership functions</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Membership"></a><div id="Membership-def"><a name="L41"></a><tt class="py-lineno"> 41</tt> <a class="py-toggle" href="#" id="Membership-toggle" onclick="return toggle('Membership');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.Membership-class.html">Membership</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Membership-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Membership-expanded"><a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"><tt class="py-docstring">    Base class of all membership functions.</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"><tt class="py-docstring">    This class is used as base of the implemented membership functions, and can</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"><tt class="py-docstring">    also be used to transform a regular function in a membership function that</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line"><tt class="py-docstring">    can be used with the fuzzy logic package.</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line"><tt class="py-docstring">    To create a membership function from a regular function ``f``, use::</tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt class="py-docstring">        mf = Membership(f)</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line"><tt class="py-docstring">    A function this converted can be used with vectors and matrices and always</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line"><tt class="py-docstring">    return a FuzzySet object. Notice that the value range is not verified so</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line"><tt class="py-docstring">    that it fits in the range [ 0, 1 ]. It is responsibility of the programmer</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line"><tt class="py-docstring">    to warrant that.</tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"><tt class="py-docstring">    To subclass Membership, just use it as a base class. It is suggested that</tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line"><tt class="py-docstring">    the ``__init__`` method of the derived class allows configuration, and the</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line"><tt class="py-docstring">    ``__call__`` method is used to apply the function over its arguments.</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Membership.__init__"></a><div id="Membership.__init__-def"><a name="L62"></a><tt class="py-lineno"> 62</tt> <a class="py-toggle" href="#" id="Membership.__init__-toggle" onclick="return toggle('Membership.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Membership-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">f</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Membership.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Membership.__init__-expanded"><a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line"><tt class="py-docstring">        Builds a membership function from a regular function</tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring">          f</tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line"><tt class="py-docstring">            Function to be transformed into a membership function. It must be</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"><tt class="py-docstring">            given, and it must be a ``FunctionType`` object, otherwise, a</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line"><tt class="py-docstring">            ``ValueError`` is raised.</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">FunctionType</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__f</tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'invalid function'</tt> </tt>
</div><a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line"> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line"> </tt>
<a name="Membership.__call__"></a><div id="Membership.__call__-def"><a name="L78"></a><tt class="py-lineno"> 78</tt> <a class="py-toggle" href="#" id="Membership.__call__-toggle" onclick="return toggle('Membership.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Membership-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Membership.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Membership.__call__-expanded"><a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line"><tt class="py-docstring">        Maps the function on a vector</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line"><tt class="py-docstring">            A value, vector or matrix over which the function is evaluated.</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line"><tt class="py-docstring">          A ``FuzzySet`` object containing the evaluation of the function over</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line"><tt class="py-docstring">          each of the components of the input.</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-5" class="py-name" targets="Class peach.fuzzy.base.FuzzySet=peach.fuzzy.base.FuzzySet-class.html"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-5', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__f</tt><tt class="py-op">(</tt><tt id="link-6" class="py-name" targets="Variable peach.fuzzy.cmeans.FuzzyCMeans.x=peach.fuzzy.cmeans.FuzzyCMeans-class.html#x,Variable peach.optm.linear.Direct1D.x=peach.optm.linear.Direct1D-class.html#x,Variable peach.optm.linear.GoldenRule.x=peach.optm.linear.GoldenRule-class.html#x,Variable peach.optm.linear.Interpolation.x=peach.optm.linear.Interpolation-class.html#x,Variable peach.optm.multivar.Direct.x=peach.optm.multivar.Direct-class.html#x,Variable peach.optm.multivar.Gradient.x=peach.optm.multivar.Gradient-class.html#x,Variable peach.optm.multivar.MomentumGradient.x=peach.optm.multivar.MomentumGradient-class.html#x,Variable peach.optm.multivar.Newton.x=peach.optm.multivar.Newton-class.html#x,Variable peach.optm.quasinewton.DFP.x=peach.optm.quasinewton.DFP-class.html#x,Variable peach.optm.quasinewton.SR1.x=peach.optm.quasinewton.SR1-class.html#x,Variable peach.sa.base.BinarySA.x=peach.sa.base.BinarySA-class.html#x,Variable peach.sa.base.ContinuousSA.x=peach.sa.base.ContinuousSA-class.html#x"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-6', 'x', 'link-6');">x</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line"> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line"> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="IncreasingRamp"></a><div id="IncreasingRamp-def"><a name="L94"></a><tt class="py-lineno"> 94</tt> <a class="py-toggle" href="#" id="IncreasingRamp-toggle" onclick="return toggle('IncreasingRamp');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.IncreasingRamp-class.html">IncreasingRamp</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IncreasingRamp-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="IncreasingRamp-expanded"><a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line"><tt class="py-docstring">    Increasing ramp.</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line"><tt class="py-docstring">    Given two points, ``x0`` and ``x1``, with ``x0 &lt; x1``, creates a function</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line"><tt class="py-docstring">    which returns:</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line"><tt class="py-docstring">       0, if ``x &lt;= x0``;</tt> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line"><tt class="py-docstring">       ``(x - x0) / (x1 - x0)``, if ``x0 &lt; x &lt;= x1``;</tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line"><tt class="py-docstring">       1, if ``x &gt; x1``.</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="IncreasingRamp.__init__"></a><div id="IncreasingRamp.__init__-def"><a name="L107"></a><tt class="py-lineno">107</tt> <a class="py-toggle" href="#" id="IncreasingRamp.__init__-toggle" onclick="return toggle('IncreasingRamp.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.IncreasingRamp-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">,</tt> <tt class="py-param">x1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IncreasingRamp.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IncreasingRamp.__init__-expanded"><a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line"><tt class="py-docstring">            Start of the ramp;</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line"><tt class="py-docstring">          x1</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"><tt class="py-docstring">            End of the ramp.</tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> </tt>
</div><a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"> </tt>
<a name="IncreasingRamp.__call__"></a><div id="IncreasingRamp.__call__-def"><a name="L121"></a><tt class="py-lineno">121</tt> <a class="py-toggle" href="#" id="IncreasingRamp.__call__-toggle" onclick="return toggle('IncreasingRamp.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.IncreasingRamp-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IncreasingRamp.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IncreasingRamp.__call__-expanded"><a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line">        <tt id="link-7" class="py-name" targets="Variable peach.fuzzy.control.Controller.y=peach.fuzzy.control.Controller-class.html#y,Variable peach.nn.base.Layer.y=peach.nn.base.Layer-class.html#y,Variable peach.nn.nnet.FeedForward.y=peach.nn.nnet.FeedForward-class.html#y,Variable peach.nn.nnet.SOM.y=peach.nn.nnet.SOM-class.html#y,Variable peach.nn.rbfn.RBFN.y=peach.nn.rbfn.RBFN-class.html#y"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-7', 'y', 'link-7');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-8" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-8', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-9" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-9', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line">                         <tt class="py-op">[</tt> <tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt id="link-10" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-10', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-number">1.0</tt><tt class="py-op">)</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-11" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-11', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt id="link-12" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-12', 'y', 'link-7');">y</a></tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="DecreasingRamp"></a><div id="DecreasingRamp-def"><a name="L128"></a><tt class="py-lineno">128</tt> <a class="py-toggle" href="#" id="DecreasingRamp-toggle" onclick="return toggle('DecreasingRamp');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.DecreasingRamp-class.html">DecreasingRamp</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="DecreasingRamp-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="DecreasingRamp-expanded"><a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line"><tt class="py-docstring">    Decreasing ramp.</tt> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line"><tt class="py-docstring">    Given two points, ``x0`` and ``x1``, with ``x0 &lt; x1``, creates a function</tt> </tt>
<a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line"><tt class="py-docstring">    which returns:</tt> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"><tt class="py-docstring">       1, if ``x &lt;= x0``;</tt> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line"><tt class="py-docstring">       ``(x1 - x) / (x1 - x0)``, if ``x0 &lt; x &lt;= x1``;</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line"><tt class="py-docstring">       0, if ``x &gt; x1``.</tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="DecreasingRamp.__init__"></a><div id="DecreasingRamp.__init__-def"><a name="L141"></a><tt class="py-lineno">141</tt> <a class="py-toggle" href="#" id="DecreasingRamp.__init__-toggle" onclick="return toggle('DecreasingRamp.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.DecreasingRamp-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">,</tt> <tt class="py-param">x1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="DecreasingRamp.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="DecreasingRamp.__init__-expanded"><a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line"><tt class="py-docstring">            Start of the ramp;</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line"><tt class="py-docstring">          x1</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line"><tt class="py-docstring">            End of the ramp.</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> </tt>
</div><a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line"> </tt>
<a name="DecreasingRamp.__call__"></a><div id="DecreasingRamp.__call__-def"><a name="L155"></a><tt class="py-lineno">155</tt> <a class="py-toggle" href="#" id="DecreasingRamp.__call__-toggle" onclick="return toggle('DecreasingRamp.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.DecreasingRamp-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="DecreasingRamp.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="DecreasingRamp.__call__-expanded"><a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line">        <tt id="link-13" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-13', 'y', 'link-7');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-14" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-14', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-15" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-15', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line">                         <tt class="py-op">[</tt> <tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">-</tt> <tt id="link-16" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-16', 'x', 'link-6');">x</a></tt><tt class="py-op">)</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-17" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-17', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt id="link-18" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-18', 'y', 'link-7');">y</a></tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line"> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line"> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Triangle"></a><div id="Triangle-def"><a name="L162"></a><tt class="py-lineno">162</tt> <a class="py-toggle" href="#" id="Triangle-toggle" onclick="return toggle('Triangle');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.Triangle-class.html">Triangle</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Triangle-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Triangle-expanded"><a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line"><tt class="py-docstring">    Triangle function.</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line"><tt class="py-docstring">    Given three points, ``x0``, ``x1`` and ``x2``, with ``x0 &lt; x1 &lt; x2``,</tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line"><tt class="py-docstring">    creates a function which returns:</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line"><tt class="py-docstring">      0, if ``x &lt;= x0`` or ``x &gt; x2``;</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line"><tt class="py-docstring">      ``(x - x0) / (x1 - x0)``, if ``x0 &lt; x &lt;= x1``;</tt> </tt>
<a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line"><tt class="py-docstring">      ``(x2 - x) / (x2 - x1)``, if ``x1 &lt; x &lt;= x2``.</tt> </tt>
<a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Triangle.__init__"></a><div id="Triangle.__init__-def"><a name="L175"></a><tt class="py-lineno">175</tt> <a class="py-toggle" href="#" id="Triangle.__init__-toggle" onclick="return toggle('Triangle.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Triangle-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">,</tt> <tt class="py-param">x1</tt><tt class="py-op">,</tt> <tt class="py-param">x2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Triangle.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Triangle.__init__-expanded"><a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line"><tt class="py-docstring">            Start of the triangle;</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line"><tt class="py-docstring">          x1</tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line"><tt class="py-docstring">            Peak of the triangle;</tt> </tt>
<a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line"><tt class="py-docstring">          x2</tt> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line"><tt class="py-docstring">            End of triangle.</tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x2</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x2</tt><tt class="py-op">)</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a0</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a1</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x2</tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt><tt class="py-op">)</tt> </tt>
</div><a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line"> </tt>
<a name="Triangle.__call__"></a><div id="Triangle.__call__-def"><a name="L193"></a><tt class="py-lineno">193</tt> <a class="py-toggle" href="#" id="Triangle.__call__-toggle" onclick="return toggle('Triangle.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Triangle-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Triangle.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Triangle.__call__-expanded"><a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">        <tt id="link-19" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-19', 'y', 'link-7');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-20" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-20', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-21" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-21', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt><tt class="py-op">,</tt> <tt id="link-22" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-22', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x2</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line">                         <tt class="py-op">[</tt> <tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a0</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt id="link-23" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-23', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line">                                <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a1</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x2</tt> <tt class="py-op">-</tt> <tt id="link-24" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-24', 'x', 'link-6');">x</a></tt><tt class="py-op">)</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
<a name="L197"></a><tt class="py-lineno">197</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-25" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-25', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt id="link-26" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-26', 'y', 'link-7');">y</a></tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line"> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line"> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Trapezoid"></a><div id="Trapezoid-def"><a name="L201"></a><tt class="py-lineno">201</tt> <a class="py-toggle" href="#" id="Trapezoid-toggle" onclick="return toggle('Trapezoid');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.Trapezoid-class.html">Trapezoid</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Trapezoid-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Trapezoid-expanded"><a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line"><tt class="py-docstring">    Trapezoid function.</tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line"><tt class="py-docstring">    Given four points, ``x0``, ``x1``, ``x2`` and ``x3``, with</tt> </tt>
<a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line"><tt class="py-docstring">    ``x0 &lt; x1 &lt; x2 &lt; x3``, creates a function which returns:</tt> </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line"><tt class="py-docstring">       0, if ``x &lt;= x0`` or ``x &gt; x3``;</tt> </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line"><tt class="py-docstring">       ``(x - x0)/(x1 - x0)``, if ``x0 &lt;= x &lt; x1``;</tt> </tt>
<a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line"><tt class="py-docstring">       1, if ``x1 &lt;= x &lt; x2``;</tt> </tt>
<a name="L213"></a><tt class="py-lineno">213</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line"><tt class="py-docstring">       ``(x3 - x)/(x3 - x2)``, if ``x2 &lt;= x &lt; x3``.</tt> </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Trapezoid.__init__"></a><div id="Trapezoid.__init__-def"><a name="L216"></a><tt class="py-lineno">216</tt> <a class="py-toggle" href="#" id="Trapezoid.__init__-toggle" onclick="return toggle('Trapezoid.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Trapezoid-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">,</tt> <tt class="py-param">x1</tt><tt class="py-op">,</tt> <tt class="py-param">x2</tt><tt class="py-op">,</tt> <tt class="py-param">x3</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Trapezoid.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Trapezoid.__init__-expanded"><a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L218"></a><tt class="py-lineno">218</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line"><tt class="py-docstring">            Start of the trapezoid;</tt> </tt>
<a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line"><tt class="py-docstring">          x1</tt> </tt>
<a name="L224"></a><tt class="py-lineno">224</tt>  <tt class="py-line"><tt class="py-docstring">            First peak of the trapezoid;</tt> </tt>
<a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line"><tt class="py-docstring">          x2</tt> </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line"><tt class="py-docstring">            Last peak of the trapezoid;</tt> </tt>
<a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line"><tt class="py-docstring">          x3</tt> </tt>
<a name="L228"></a><tt class="py-lineno">228</tt>  <tt class="py-line"><tt class="py-docstring">            End of trapezoid.</tt> </tt>
<a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x2</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x2</tt><tt class="py-op">)</tt> </tt>
<a name="L233"></a><tt class="py-lineno">233</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x3</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x3</tt><tt class="py-op">)</tt> </tt>
<a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a0</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> </tt>
<a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a1</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x3</tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x2</tt><tt class="py-op">)</tt> </tt>
</div><a name="L236"></a><tt class="py-lineno">236</tt>  <tt class="py-line"> </tt>
<a name="Trapezoid.__call__"></a><div id="Trapezoid.__call__-def"><a name="L237"></a><tt class="py-lineno">237</tt> <a class="py-toggle" href="#" id="Trapezoid.__call__-toggle" onclick="return toggle('Trapezoid.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Trapezoid-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Trapezoid.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Trapezoid.__call__-expanded"><a name="L238"></a><tt class="py-lineno">238</tt>  <tt class="py-line">        <tt id="link-27" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-27', 'y', 'link-7');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-28" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-28', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-29" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-29', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt><tt class="py-op">,</tt> </tt>
<a name="L239"></a><tt class="py-lineno">239</tt>  <tt class="py-line">                           <tt id="link-30" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-30', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x2</tt><tt class="py-op">,</tt> <tt id="link-31" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-31', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x3</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L240"></a><tt class="py-lineno">240</tt>  <tt class="py-line">                         <tt class="py-op">[</tt> <tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a0</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt id="link-32" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-32', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">1.0</tt><tt class="py-op">,</tt> </tt>
<a name="L241"></a><tt class="py-lineno">241</tt>  <tt class="py-line">                                <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a1</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x3</tt> <tt class="py-op">-</tt> <tt id="link-33" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-33', 'x', 'link-6');">x</a></tt><tt class="py-op">)</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
<a name="L242"></a><tt class="py-lineno">242</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-34" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-34', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt id="link-35" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-35', 'y', 'link-7');">y</a></tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L243"></a><tt class="py-lineno">243</tt>  <tt class="py-line"> </tt>
<a name="L244"></a><tt class="py-lineno">244</tt>  <tt class="py-line"> </tt>
<a name="L245"></a><tt class="py-lineno">245</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Gaussian"></a><div id="Gaussian-def"><a name="L246"></a><tt class="py-lineno">246</tt> <a class="py-toggle" href="#" id="Gaussian-toggle" onclick="return toggle('Gaussian');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.Gaussian-class.html">Gaussian</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Gaussian-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Gaussian-expanded"><a name="L247"></a><tt class="py-lineno">247</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L248"></a><tt class="py-lineno">248</tt>  <tt class="py-line"><tt class="py-docstring">    Gaussian function.</tt> </tt>
<a name="L249"></a><tt class="py-lineno">249</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L250"></a><tt class="py-lineno">250</tt>  <tt class="py-line"><tt class="py-docstring">    Given the center and the width, creates a function which returns a gaussian</tt> </tt>
<a name="L251"></a><tt class="py-lineno">251</tt>  <tt class="py-line"><tt class="py-docstring">    fit to these parameters, that is:</tt> </tt>
<a name="L252"></a><tt class="py-lineno">252</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L253"></a><tt class="py-lineno">253</tt>  <tt class="py-line"><tt class="py-docstring">       ``exp(-(x - x0)**2)/a``</tt> </tt>
<a name="L254"></a><tt class="py-lineno">254</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Gaussian.__init__"></a><div id="Gaussian.__init__-def"><a name="L255"></a><tt class="py-lineno">255</tt> <a class="py-toggle" href="#" id="Gaussian.__init__-toggle" onclick="return toggle('Gaussian.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Gaussian-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">=</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Gaussian.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Gaussian.__init__-expanded"><a name="L256"></a><tt class="py-lineno">256</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L257"></a><tt class="py-lineno">257</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L258"></a><tt class="py-lineno">258</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L259"></a><tt class="py-lineno">259</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L260"></a><tt class="py-lineno">260</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L261"></a><tt class="py-lineno">261</tt>  <tt class="py-line"><tt class="py-docstring">            Center of the gaussian. Default value ``0.0``;</tt> </tt>
<a name="L262"></a><tt class="py-lineno">262</tt>  <tt class="py-line"><tt class="py-docstring">          a</tt> </tt>
<a name="L263"></a><tt class="py-lineno">263</tt>  <tt class="py-line"><tt class="py-docstring">            Width of the gaussian. Default value ``1.0``.</tt> </tt>
<a name="L264"></a><tt class="py-lineno">264</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L265"></a><tt class="py-lineno">265</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L266"></a><tt class="py-lineno">266</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
</div><a name="L267"></a><tt class="py-lineno">267</tt>  <tt class="py-line"> </tt>
<a name="Gaussian.__call__"></a><div id="Gaussian.__call__-def"><a name="L268"></a><tt class="py-lineno">268</tt> <a class="py-toggle" href="#" id="Gaussian.__call__-toggle" onclick="return toggle('Gaussian.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Gaussian-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Gaussian.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Gaussian.__call__-expanded"><a name="L269"></a><tt class="py-lineno">269</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-36" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-36', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt id="link-37" class="py-name"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-37', 'exp', 'link-1');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt id="link-38" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-38', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L270"></a><tt class="py-lineno">270</tt>  <tt class="py-line"> </tt>
<a name="L271"></a><tt class="py-lineno">271</tt>  <tt class="py-line"> </tt>
<a name="L272"></a><tt class="py-lineno">272</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="IncreasingSigmoid"></a><div id="IncreasingSigmoid-def"><a name="L273"></a><tt class="py-lineno">273</tt> <a class="py-toggle" href="#" id="IncreasingSigmoid-toggle" onclick="return toggle('IncreasingSigmoid');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.IncreasingSigmoid-class.html">IncreasingSigmoid</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IncreasingSigmoid-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="IncreasingSigmoid-expanded"><a name="L274"></a><tt class="py-lineno">274</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L275"></a><tt class="py-lineno">275</tt>  <tt class="py-line"><tt class="py-docstring">    Increasing Sigmoid function.</tt> </tt>
<a name="L276"></a><tt class="py-lineno">276</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L277"></a><tt class="py-lineno">277</tt>  <tt class="py-line"><tt class="py-docstring">    Given the center and the slope, creates an increasing sigmoidal function.</tt> </tt>
<a name="L278"></a><tt class="py-lineno">278</tt>  <tt class="py-line"><tt class="py-docstring">    It goes to ``0`` as ``x`` approaches to -infinity, and goes to ``1`` as</tt> </tt>
<a name="L279"></a><tt class="py-lineno">279</tt>  <tt class="py-line"><tt class="py-docstring">    ``x`` approaches infinity, that is:</tt> </tt>
<a name="L280"></a><tt class="py-lineno">280</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L281"></a><tt class="py-lineno">281</tt>  <tt class="py-line"><tt class="py-docstring">        ``1 / (1 + exp(-a*(x - x0))``</tt> </tt>
<a name="L282"></a><tt class="py-lineno">282</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="IncreasingSigmoid.__init__"></a><div id="IncreasingSigmoid.__init__-def"><a name="L283"></a><tt class="py-lineno">283</tt> <a class="py-toggle" href="#" id="IncreasingSigmoid.__init__-toggle" onclick="return toggle('IncreasingSigmoid.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.IncreasingSigmoid-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">=</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IncreasingSigmoid.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IncreasingSigmoid.__init__-expanded"><a name="L284"></a><tt class="py-lineno">284</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L285"></a><tt class="py-lineno">285</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L286"></a><tt class="py-lineno">286</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L287"></a><tt class="py-lineno">287</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L288"></a><tt class="py-lineno">288</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L289"></a><tt class="py-lineno">289</tt>  <tt class="py-line"><tt class="py-docstring">            Center of the sigmoid. Default value ``0.0``. The function evaluates</tt> </tt>
<a name="L290"></a><tt class="py-lineno">290</tt>  <tt class="py-line"><tt class="py-docstring">            to ``0.5`` if ``x = x0``;</tt> </tt>
<a name="L291"></a><tt class="py-lineno">291</tt>  <tt class="py-line"><tt class="py-docstring">          a</tt> </tt>
<a name="L292"></a><tt class="py-lineno">292</tt>  <tt class="py-line"><tt class="py-docstring">            Slope of the sigmoid. Default value ``1.0``.</tt> </tt>
<a name="L293"></a><tt class="py-lineno">293</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L294"></a><tt class="py-lineno">294</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L295"></a><tt class="py-lineno">295</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
</div><a name="L296"></a><tt class="py-lineno">296</tt>  <tt class="py-line"> </tt>
<a name="IncreasingSigmoid.__call__"></a><div id="IncreasingSigmoid.__call__-def"><a name="L297"></a><tt class="py-lineno">297</tt> <a class="py-toggle" href="#" id="IncreasingSigmoid.__call__-toggle" onclick="return toggle('IncreasingSigmoid.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.IncreasingSigmoid-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IncreasingSigmoid.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IncreasingSigmoid.__call__-expanded"><a name="L298"></a><tt class="py-lineno">298</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-39" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-39', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">+</tt> <tt id="link-40" class="py-name"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-40', 'exp', 'link-1');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt id="link-41" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-41', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L299"></a><tt class="py-lineno">299</tt>  <tt class="py-line"> </tt>
<a name="L300"></a><tt class="py-lineno">300</tt>  <tt class="py-line"> </tt>
<a name="L301"></a><tt class="py-lineno">301</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="DecreasingSigmoid"></a><div id="DecreasingSigmoid-def"><a name="L302"></a><tt class="py-lineno">302</tt> <a class="py-toggle" href="#" id="DecreasingSigmoid-toggle" onclick="return toggle('DecreasingSigmoid');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.DecreasingSigmoid-class.html">DecreasingSigmoid</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="DecreasingSigmoid-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="DecreasingSigmoid-expanded"><a name="L303"></a><tt class="py-lineno">303</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L304"></a><tt class="py-lineno">304</tt>  <tt class="py-line"><tt class="py-docstring">    Decreasing Sigmoid function.</tt> </tt>
<a name="L305"></a><tt class="py-lineno">305</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L306"></a><tt class="py-lineno">306</tt>  <tt class="py-line"><tt class="py-docstring">    Given the center and the slope, creates an decreasing sigmoidal function.</tt> </tt>
<a name="L307"></a><tt class="py-lineno">307</tt>  <tt class="py-line"><tt class="py-docstring">    It goes to ``1`` as ``x`` approaches to -infinity, and goes to ``0`` as</tt> </tt>
<a name="L308"></a><tt class="py-lineno">308</tt>  <tt class="py-line"><tt class="py-docstring">    ``x`` approaches infinity, that is:</tt> </tt>
<a name="L309"></a><tt class="py-lineno">309</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L310"></a><tt class="py-lineno">310</tt>  <tt class="py-line"><tt class="py-docstring">        ``1 / (1 + exp(a*(x - x0))``</tt> </tt>
<a name="L311"></a><tt class="py-lineno">311</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="DecreasingSigmoid.__init__"></a><div id="DecreasingSigmoid.__init__-def"><a name="L312"></a><tt class="py-lineno">312</tt> <a class="py-toggle" href="#" id="DecreasingSigmoid.__init__-toggle" onclick="return toggle('DecreasingSigmoid.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.DecreasingSigmoid-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">=</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="DecreasingSigmoid.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="DecreasingSigmoid.__init__-expanded"><a name="L313"></a><tt class="py-lineno">313</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L314"></a><tt class="py-lineno">314</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L315"></a><tt class="py-lineno">315</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L316"></a><tt class="py-lineno">316</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L317"></a><tt class="py-lineno">317</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L318"></a><tt class="py-lineno">318</tt>  <tt class="py-line"><tt class="py-docstring">            Center of the sigmoid. Default value ``0.0``. The function evaluates</tt> </tt>
<a name="L319"></a><tt class="py-lineno">319</tt>  <tt class="py-line"><tt class="py-docstring">            to ``0.5`` if ``x = x0``;</tt> </tt>
<a name="L320"></a><tt class="py-lineno">320</tt>  <tt class="py-line"><tt class="py-docstring">          a</tt> </tt>
<a name="L321"></a><tt class="py-lineno">321</tt>  <tt class="py-line"><tt class="py-docstring">            Slope of the sigmoid. Default value ``1.0``.</tt> </tt>
<a name="L322"></a><tt class="py-lineno">322</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L323"></a><tt class="py-lineno">323</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L324"></a><tt class="py-lineno">324</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
</div><a name="L325"></a><tt class="py-lineno">325</tt>  <tt class="py-line"> </tt>
<a name="DecreasingSigmoid.__call__"></a><div id="DecreasingSigmoid.__call__-def"><a name="L326"></a><tt class="py-lineno">326</tt> <a class="py-toggle" href="#" id="DecreasingSigmoid.__call__-toggle" onclick="return toggle('DecreasingSigmoid.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.DecreasingSigmoid-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="DecreasingSigmoid.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="DecreasingSigmoid.__call__-expanded"><a name="L327"></a><tt class="py-lineno">327</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-42" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-42', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">+</tt> <tt id="link-43" class="py-name"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-43', 'exp', 'link-1');">exp</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt id="link-44" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-44', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L328"></a><tt class="py-lineno">328</tt>  <tt class="py-line"> </tt>
<a name="L329"></a><tt class="py-lineno">329</tt>  <tt class="py-line"> </tt>
<a name="L330"></a><tt class="py-lineno">330</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="RaisedCosine"></a><div id="RaisedCosine-def"><a name="L331"></a><tt class="py-lineno">331</tt> <a class="py-toggle" href="#" id="RaisedCosine-toggle" onclick="return toggle('RaisedCosine');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.RaisedCosine-class.html">RaisedCosine</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="RaisedCosine-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="RaisedCosine-expanded"><a name="L332"></a><tt class="py-lineno">332</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L333"></a><tt class="py-lineno">333</tt>  <tt class="py-line"><tt class="py-docstring">    Raised Cosine function.</tt> </tt>
<a name="L334"></a><tt class="py-lineno">334</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L335"></a><tt class="py-lineno">335</tt>  <tt class="py-line"><tt class="py-docstring">    Given the center and the frequency, creates a function that is a period of</tt> </tt>
<a name="L336"></a><tt class="py-lineno">336</tt>  <tt class="py-line"><tt class="py-docstring">    a raised cosine, that is:</tt> </tt>
<a name="L337"></a><tt class="py-lineno">337</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L338"></a><tt class="py-lineno">338</tt>  <tt class="py-line"><tt class="py-docstring">       0, if ``x &lt;= xm - pi/w`` or ``x &gt; xm + pi/w``;</tt> </tt>
<a name="L339"></a><tt class="py-lineno">339</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L340"></a><tt class="py-lineno">340</tt>  <tt class="py-line"><tt class="py-docstring">       ``0.5 + 0.5 * cos(w*(x - xm))``, if ``xm - pi/w &lt;= x &lt; xm + pi/w``;</tt> </tt>
<a name="L341"></a><tt class="py-lineno">341</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="RaisedCosine.__init__"></a><div id="RaisedCosine.__init__-def"><a name="L342"></a><tt class="py-lineno">342</tt> <a class="py-toggle" href="#" id="RaisedCosine.__init__-toggle" onclick="return toggle('RaisedCosine.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.RaisedCosine-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">xm</tt><tt class="py-op">=</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-param">w</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="RaisedCosine.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="RaisedCosine.__init__-expanded"><a name="L343"></a><tt class="py-lineno">343</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L344"></a><tt class="py-lineno">344</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L345"></a><tt class="py-lineno">345</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L346"></a><tt class="py-lineno">346</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L347"></a><tt class="py-lineno">347</tt>  <tt class="py-line"><tt class="py-docstring">          xm</tt> </tt>
<a name="L348"></a><tt class="py-lineno">348</tt>  <tt class="py-line"><tt class="py-docstring">            Center of the cosine. Default value ``0.0``. The function evaluates</tt> </tt>
<a name="L349"></a><tt class="py-lineno">349</tt>  <tt class="py-line"><tt class="py-docstring">            to ``1`` if ``x = xm``;</tt> </tt>
<a name="L350"></a><tt class="py-lineno">350</tt>  <tt class="py-line"><tt class="py-docstring">          w</tt> </tt>
<a name="L351"></a><tt class="py-lineno">351</tt>  <tt class="py-line"><tt class="py-docstring">            Frequency of the cosine. Default value ``1.0``.</tt> </tt>
<a name="L352"></a><tt class="py-lineno">352</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L353"></a><tt class="py-lineno">353</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xm</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">xm</tt><tt class="py-op">)</tt> </tt>
<a name="L354"></a><tt class="py-lineno">354</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__w</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">w</tt><tt class="py-op">)</tt> </tt>
<a name="L355"></a><tt class="py-lineno">355</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xm</tt> <tt class="py-op">-</tt> <tt id="link-45" class="py-name"><a title="peach.fuzzy.control.pi
peach.nn.mem.pi
peach.nn.nnet.pi
peach.nn.rbfn.pi" class="py-name" href="#" onclick="return doclink('link-45', 'pi', 'link-3');">pi</a></tt> <tt class="py-op">/</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__w</tt> </tt>
<a name="L356"></a><tt class="py-lineno">356</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xm</tt> <tt class="py-op">+</tt> <tt id="link-46" class="py-name"><a title="peach.fuzzy.control.pi
peach.nn.mem.pi
peach.nn.nnet.pi
peach.nn.rbfn.pi" class="py-name" href="#" onclick="return doclink('link-46', 'pi', 'link-3');">pi</a></tt> <tt class="py-op">/</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__w</tt> </tt>
</div><a name="L357"></a><tt class="py-lineno">357</tt>  <tt class="py-line"> </tt>
<a name="RaisedCosine.__call__"></a><div id="RaisedCosine.__call__-def"><a name="L358"></a><tt class="py-lineno">358</tt> <a class="py-toggle" href="#" id="RaisedCosine.__call__-toggle" onclick="return toggle('RaisedCosine.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.RaisedCosine-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="RaisedCosine.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="RaisedCosine.__call__-expanded"><a name="L359"></a><tt class="py-lineno">359</tt>  <tt class="py-line">        <tt id="link-47" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-47', 'y', 'link-7');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-48" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-48', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-49" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-49', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L360"></a><tt class="py-lineno">360</tt>  <tt class="py-line">                         <tt class="py-op">[</tt> <tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-number">0.5</tt><tt class="py-op">*</tt><tt id="link-50" class="py-name"><a title="peach.fuzzy.control.cos" class="py-name" href="#" onclick="return doclink('link-50', 'cos', 'link-2');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__w</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt id="link-51" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-51', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xm</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-number">0.5</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L361"></a><tt class="py-lineno">361</tt>  <tt class="py-line">                           <tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
<a name="L362"></a><tt class="py-lineno">362</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-52" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-52', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt id="link-53" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-53', 'y', 'link-7');">y</a></tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L363"></a><tt class="py-lineno">363</tt>  <tt class="py-line"> </tt>
<a name="L364"></a><tt class="py-lineno">364</tt>  <tt class="py-line"> </tt>
<a name="L365"></a><tt class="py-lineno">365</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Bell"></a><div id="Bell-def"><a name="L366"></a><tt class="py-lineno">366</tt> <a class="py-toggle" href="#" id="Bell-toggle" onclick="return toggle('Bell');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.Bell-class.html">Bell</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Bell-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Bell-expanded"><a name="L367"></a><tt class="py-lineno">367</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L368"></a><tt class="py-lineno">368</tt>  <tt class="py-line"><tt class="py-docstring">    Generalized Bell function.</tt> </tt>
<a name="L369"></a><tt class="py-lineno">369</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L370"></a><tt class="py-lineno">370</tt>  <tt class="py-line"><tt class="py-docstring">    A generalized bell is a symmetric function with its peak in its center and</tt> </tt>
<a name="L371"></a><tt class="py-lineno">371</tt>  <tt class="py-line"><tt class="py-docstring">    fast decreasing to ``0`` outside a given interval, that is:</tt> </tt>
<a name="L372"></a><tt class="py-lineno">372</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L373"></a><tt class="py-lineno">373</tt>  <tt class="py-line"><tt class="py-docstring">      ``1 / (1 + ((x - x0)/a)**(2*b))``</tt> </tt>
<a name="L374"></a><tt class="py-lineno">374</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Bell.__init__"></a><div id="Bell.__init__-def"><a name="L375"></a><tt class="py-lineno">375</tt> <a class="py-toggle" href="#" id="Bell.__init__-toggle" onclick="return toggle('Bell.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Bell-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">=</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">b</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Bell.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Bell.__init__-expanded"><a name="L376"></a><tt class="py-lineno">376</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L377"></a><tt class="py-lineno">377</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L378"></a><tt class="py-lineno">378</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L379"></a><tt class="py-lineno">379</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L380"></a><tt class="py-lineno">380</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L381"></a><tt class="py-lineno">381</tt>  <tt class="py-line"><tt class="py-docstring">            Center of the bell. Default value ``0.0``. The function evaluates to</tt> </tt>
<a name="L382"></a><tt class="py-lineno">382</tt>  <tt class="py-line"><tt class="py-docstring">            ``1`` if ``x = xm``;</tt> </tt>
<a name="L383"></a><tt class="py-lineno">383</tt>  <tt class="py-line"><tt class="py-docstring">          a</tt> </tt>
<a name="L384"></a><tt class="py-lineno">384</tt>  <tt class="py-line"><tt class="py-docstring">            Size of the interval. Default value ``1.0``. A generalized bell</tt> </tt>
<a name="L385"></a><tt class="py-lineno">385</tt>  <tt class="py-line"><tt class="py-docstring">            evaluates to ``0.5`` if ``x = -a`` or ``x = a``;</tt> </tt>
<a name="L386"></a><tt class="py-lineno">386</tt>  <tt class="py-line"><tt class="py-docstring">          b</tt> </tt>
<a name="L387"></a><tt class="py-lineno">387</tt>  <tt class="py-line"><tt class="py-docstring">            Measure of *flatness* of the bell. The bigger the value of ``b``,</tt> </tt>
<a name="L388"></a><tt class="py-lineno">388</tt>  <tt class="py-line"><tt class="py-docstring">            the flatter is the resulting function. Default value ``1.0``.</tt> </tt>
<a name="L389"></a><tt class="py-lineno">389</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L390"></a><tt class="py-lineno">390</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L391"></a><tt class="py-lineno">391</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
<a name="L392"></a><tt class="py-lineno">392</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__b</tt> <tt class="py-op">=</tt> <tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">)</tt> </tt>
</div><a name="L393"></a><tt class="py-lineno">393</tt>  <tt class="py-line"> </tt>
<a name="Bell.__call__"></a><div id="Bell.__call__-def"><a name="L394"></a><tt class="py-lineno">394</tt> <a class="py-toggle" href="#" id="Bell.__call__-toggle" onclick="return toggle('Bell.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Bell-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Bell.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Bell.__call__-expanded"><a name="L395"></a><tt class="py-lineno">395</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-54" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-54', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-op">(</tt><tt id="link-55" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-55', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__b</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L396"></a><tt class="py-lineno">396</tt>  <tt class="py-line"> </tt>
<a name="L397"></a><tt class="py-lineno">397</tt>  <tt class="py-line"> </tt>
<a name="L398"></a><tt class="py-lineno">398</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Smf"></a><div id="Smf-def"><a name="L399"></a><tt class="py-lineno">399</tt> <a class="py-toggle" href="#" id="Smf-toggle" onclick="return toggle('Smf');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.Smf-class.html">Smf</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Smf-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Smf-expanded"><a name="L400"></a><tt class="py-lineno">400</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L401"></a><tt class="py-lineno">401</tt>  <tt class="py-line"><tt class="py-docstring">    Increasing smooth curve with 0 and 1 minimum and maximum values outside a</tt> </tt>
<a name="L402"></a><tt class="py-lineno">402</tt>  <tt class="py-line"><tt class="py-docstring">    given range.</tt> </tt>
<a name="L403"></a><tt class="py-lineno">403</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Smf.__init__"></a><div id="Smf.__init__-def"><a name="L404"></a><tt class="py-lineno">404</tt> <a class="py-toggle" href="#" id="Smf.__init__-toggle" onclick="return toggle('Smf.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Smf-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">,</tt> <tt class="py-param">x1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Smf.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Smf.__init__-expanded"><a name="L405"></a><tt class="py-lineno">405</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L406"></a><tt class="py-lineno">406</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L407"></a><tt class="py-lineno">407</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L408"></a><tt class="py-lineno">408</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L409"></a><tt class="py-lineno">409</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L410"></a><tt class="py-lineno">410</tt>  <tt class="py-line"><tt class="py-docstring">            Start of the curve. For every value below this, the function returns</tt> </tt>
<a name="L411"></a><tt class="py-lineno">411</tt>  <tt class="py-line"><tt class="py-docstring">            0;</tt> </tt>
<a name="L412"></a><tt class="py-lineno">412</tt>  <tt class="py-line"><tt class="py-docstring">          x1</tt> </tt>
<a name="L413"></a><tt class="py-lineno">413</tt>  <tt class="py-line"><tt class="py-docstring">            End of the curve. For every value above this, the function returns</tt> </tt>
<a name="L414"></a><tt class="py-lineno">414</tt>  <tt class="py-line"><tt class="py-docstring">            1;</tt> </tt>
<a name="L415"></a><tt class="py-lineno">415</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L416"></a><tt class="py-lineno">416</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">x0</tt> </tt>
<a name="L417"></a><tt class="py-lineno">417</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">=</tt> <tt class="py-name">x1</tt> </tt>
<a name="L418"></a><tt class="py-lineno">418</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xm</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">x0</tt> <tt class="py-op">+</tt> <tt class="py-name">x1</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.</tt> </tt>
<a name="L419"></a><tt class="py-lineno">419</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xr</tt> <tt class="py-op">=</tt> <tt class="py-name">x1</tt> <tt class="py-op">-</tt> <tt class="py-name">x0</tt> </tt>
</div><a name="L420"></a><tt class="py-lineno">420</tt>  <tt class="py-line"> </tt>
<a name="Smf.__call__"></a><div id="Smf.__call__-def"><a name="L421"></a><tt class="py-lineno">421</tt> <a class="py-toggle" href="#" id="Smf.__call__-toggle" onclick="return toggle('Smf.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Smf-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Smf.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Smf.__call__-expanded"><a name="L422"></a><tt class="py-lineno">422</tt>  <tt class="py-line">        <tt class="py-name">xa</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt id="link-56" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-56', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xr</tt> </tt>
<a name="L423"></a><tt class="py-lineno">423</tt>  <tt class="py-line">        <tt class="py-name">xb</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt id="link-57" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-57', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xr</tt> </tt>
<a name="L424"></a><tt class="py-lineno">424</tt>  <tt class="py-line">        <tt id="link-58" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-58', 'y', 'link-7');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-59" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-59', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-60" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-60', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xm</tt><tt class="py-op">,</tt> <tt id="link-61" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-61', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L425"></a><tt class="py-lineno">425</tt>  <tt class="py-line">                         <tt class="py-op">[</tt> <tt class="py-number">0.</tt><tt class="py-op">,</tt> <tt class="py-number">2.</tt><tt class="py-op">*</tt><tt class="py-name">xa</tt><tt class="py-op">*</tt><tt class="py-name">xa</tt><tt class="py-op">,</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-number">2.</tt><tt class="py-op">*</tt><tt class="py-name">xb</tt><tt class="py-op">*</tt><tt class="py-name">xb</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-number">1.</tt><tt class="py-op">)</tt> </tt>
<a name="L426"></a><tt class="py-lineno">426</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-62" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-62', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt id="link-63" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-63', 'y', 'link-7');">y</a></tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L427"></a><tt class="py-lineno">427</tt>  <tt class="py-line"> </tt>
<a name="L428"></a><tt class="py-lineno">428</tt>  <tt class="py-line"> </tt>
<a name="L429"></a><tt class="py-lineno">429</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Zmf"></a><div id="Zmf-def"><a name="L430"></a><tt class="py-lineno">430</tt> <a class="py-toggle" href="#" id="Zmf-toggle" onclick="return toggle('Zmf');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.mf.Zmf-class.html">Zmf</a><tt class="py-op">(</tt><tt class="py-base-class">Membership</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Zmf-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Zmf-expanded"><a name="L431"></a><tt class="py-lineno">431</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L432"></a><tt class="py-lineno">432</tt>  <tt class="py-line"><tt class="py-docstring">    Decreasing smooth curve with 0 and 1 minimum and maximum values outside a</tt> </tt>
<a name="L433"></a><tt class="py-lineno">433</tt>  <tt class="py-line"><tt class="py-docstring">    given range.</tt> </tt>
<a name="L434"></a><tt class="py-lineno">434</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Zmf.__init__"></a><div id="Zmf.__init__-def"><a name="L435"></a><tt class="py-lineno">435</tt> <a class="py-toggle" href="#" id="Zmf.__init__-toggle" onclick="return toggle('Zmf.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Zmf-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">,</tt> <tt class="py-param">x1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Zmf.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Zmf.__init__-expanded"><a name="L436"></a><tt class="py-lineno">436</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L437"></a><tt class="py-lineno">437</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function.</tt> </tt>
<a name="L438"></a><tt class="py-lineno">438</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L439"></a><tt class="py-lineno">439</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L440"></a><tt class="py-lineno">440</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L441"></a><tt class="py-lineno">441</tt>  <tt class="py-line"><tt class="py-docstring">            Start of the curve. For every value below this, the function returns</tt> </tt>
<a name="L442"></a><tt class="py-lineno">442</tt>  <tt class="py-line"><tt class="py-docstring">            1;</tt> </tt>
<a name="L443"></a><tt class="py-lineno">443</tt>  <tt class="py-line"><tt class="py-docstring">          x1</tt> </tt>
<a name="L444"></a><tt class="py-lineno">444</tt>  <tt class="py-line"><tt class="py-docstring">            End of the curve. For every value above this, the function returns</tt> </tt>
<a name="L445"></a><tt class="py-lineno">445</tt>  <tt class="py-line"><tt class="py-docstring">            0;</tt> </tt>
<a name="L446"></a><tt class="py-lineno">446</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L447"></a><tt class="py-lineno">447</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">x0</tt> </tt>
<a name="L448"></a><tt class="py-lineno">448</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">=</tt> <tt class="py-name">x1</tt> </tt>
<a name="L449"></a><tt class="py-lineno">449</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xm</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">x0</tt> <tt class="py-op">+</tt> <tt class="py-name">x1</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.</tt> </tt>
<a name="L450"></a><tt class="py-lineno">450</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xr</tt> <tt class="py-op">=</tt> <tt class="py-name">x1</tt> <tt class="py-op">-</tt> <tt class="py-name">x0</tt> </tt>
</div><a name="L451"></a><tt class="py-lineno">451</tt>  <tt class="py-line"> </tt>
<a name="Zmf.__call__"></a><div id="Zmf.__call__-def"><a name="L452"></a><tt class="py-lineno">452</tt> <a class="py-toggle" href="#" id="Zmf.__call__-toggle" onclick="return toggle('Zmf.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf.Zmf-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Zmf.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Zmf.__call__-expanded"><a name="L453"></a><tt class="py-lineno">453</tt>  <tt class="py-line">        <tt class="py-name">xa</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt id="link-64" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-64', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xr</tt> </tt>
<a name="L454"></a><tt class="py-lineno">454</tt>  <tt class="py-line">        <tt class="py-name">xb</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt id="link-65" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-65', 'x', 'link-6');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xr</tt> </tt>
<a name="L455"></a><tt class="py-lineno">455</tt>  <tt class="py-line">        <tt id="link-66" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-66', 'y', 'link-7');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-67" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-67', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-68" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-68', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__xm</tt><tt class="py-op">,</tt> <tt id="link-69" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-69', 'x', 'link-6');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L456"></a><tt class="py-lineno">456</tt>  <tt class="py-line">                         <tt class="py-op">[</tt> <tt class="py-number">1.</tt><tt class="py-op">,</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-number">2.</tt><tt class="py-op">*</tt><tt class="py-name">xa</tt><tt class="py-op">*</tt><tt class="py-name">xa</tt><tt class="py-op">,</tt> <tt class="py-number">2.</tt><tt class="py-op">*</tt><tt class="py-name">xb</tt><tt class="py-op">*</tt><tt class="py-name">xb</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-number">0.</tt><tt class="py-op">)</tt> </tt>
<a name="L457"></a><tt class="py-lineno">457</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-70" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-70', 'FuzzySet', 'link-5');">FuzzySet</a></tt><tt class="py-op">(</tt><tt id="link-71" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-71', 'y', 'link-7');">y</a></tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L458"></a><tt class="py-lineno">458</tt>  <tt class="py-line"> </tt>
<a name="L459"></a><tt class="py-lineno">459</tt>  <tt class="py-line"> </tt>
<a name="L460"></a><tt class="py-lineno">460</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L461"></a><tt class="py-lineno">461</tt>  <tt class="py-line"><tt class="py-comment"># Auxiliary functions</tt> </tt>
<a name="L462"></a><tt class="py-lineno">462</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Saw"></a><div id="Saw-def"><a name="L463"></a><tt class="py-lineno">463</tt> <a class="py-toggle" href="#" id="Saw-toggle" onclick="return toggle('Saw');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf-module.html#Saw">Saw</a><tt class="py-op">(</tt><tt class="py-param">interval</tt><tt class="py-op">,</tt> <tt class="py-param">n</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Saw-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Saw-expanded"><a name="L464"></a><tt class="py-lineno">464</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L465"></a><tt class="py-lineno">465</tt>  <tt class="py-line"><tt class="py-docstring">    Splits an ``interval`` into ``n`` triangle functions.</tt> </tt>
<a name="L466"></a><tt class="py-lineno">466</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L467"></a><tt class="py-lineno">467</tt>  <tt class="py-line"><tt class="py-docstring">    Given an interval in any domain, this function will create ``n`` triangle</tt> </tt>
<a name="L468"></a><tt class="py-lineno">468</tt>  <tt class="py-line"><tt class="py-docstring">    functions of the same size equally spaced in the interval. It is very</tt> </tt>
<a name="L469"></a><tt class="py-lineno">469</tt>  <tt class="py-line"><tt class="py-docstring">    useful to create membership functions for controllers. The command below</tt> </tt>
<a name="L470"></a><tt class="py-lineno">470</tt>  <tt class="py-line"><tt class="py-docstring">    will create 3 triangle functions equally spaced in the interval (0, 4)::</tt> </tt>
<a name="L471"></a><tt class="py-lineno">471</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L472"></a><tt class="py-lineno">472</tt>  <tt class="py-line"><tt class="py-docstring">        mf1, mf2, mf3 = Saw((0, 4), 3)</tt> </tt>
<a name="L473"></a><tt class="py-lineno">473</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L474"></a><tt class="py-lineno">474</tt>  <tt class="py-line"><tt class="py-docstring">    This is the same as the following commands::</tt> </tt>
<a name="L475"></a><tt class="py-lineno">475</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L476"></a><tt class="py-lineno">476</tt>  <tt class="py-line"><tt class="py-docstring">        mf1 = Triangle(0, 1, 2)</tt> </tt>
<a name="L477"></a><tt class="py-lineno">477</tt>  <tt class="py-line"><tt class="py-docstring">        mf2 = Triangle(1, 2, 3)</tt> </tt>
<a name="L478"></a><tt class="py-lineno">478</tt>  <tt class="py-line"><tt class="py-docstring">        mf3 = Triangle(2, 3, 4)</tt> </tt>
<a name="L479"></a><tt class="py-lineno">479</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L480"></a><tt class="py-lineno">480</tt>  <tt class="py-line"><tt class="py-docstring">    :Parameters:</tt> </tt>
<a name="L481"></a><tt class="py-lineno">481</tt>  <tt class="py-line"><tt class="py-docstring">      interval</tt> </tt>
<a name="L482"></a><tt class="py-lineno">482</tt>  <tt class="py-line"><tt class="py-docstring">        A tuple containing the start and the end of the interval, in the format</tt> </tt>
<a name="L483"></a><tt class="py-lineno">483</tt>  <tt class="py-line"><tt class="py-docstring">        ``(start, end)``;</tt> </tt>
<a name="L484"></a><tt class="py-lineno">484</tt>  <tt class="py-line"><tt class="py-docstring">      n</tt> </tt>
<a name="L485"></a><tt class="py-lineno">485</tt>  <tt class="py-line"><tt class="py-docstring">        The number of functions in which the interval must be split.</tt> </tt>
<a name="L486"></a><tt class="py-lineno">486</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L487"></a><tt class="py-lineno">487</tt>  <tt class="py-line"><tt class="py-docstring">    :Returns:</tt> </tt>
<a name="L488"></a><tt class="py-lineno">488</tt>  <tt class="py-line"><tt class="py-docstring">      A list of triangle membership functions, in order.</tt> </tt>
<a name="L489"></a><tt class="py-lineno">489</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="L490"></a><tt class="py-lineno">490</tt>  <tt class="py-line">    <tt class="py-name">xo</tt><tt class="py-op">,</tt> <tt class="py-name">xf</tt> <tt class="py-op">=</tt> <tt class="py-name">interval</tt> </tt>
<a name="L491"></a><tt class="py-lineno">491</tt>  <tt class="py-line">    <tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">xf</tt> <tt class="py-op">-</tt> <tt class="py-name">xo</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L492"></a><tt class="py-lineno">492</tt>  <tt class="py-line">    <tt class="py-name">mfs</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt> <tt class="py-op">]</tt> </tt>
<a name="L493"></a><tt class="py-lineno">493</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L494"></a><tt class="py-lineno">494</tt>  <tt class="py-line">        <tt class="py-name">mfs</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt id="link-72" class="py-name" targets="Class peach.fuzzy.mf.Triangle=peach.fuzzy.mf.Triangle-class.html"><a title="peach.fuzzy.mf.Triangle" class="py-name" href="#" onclick="return doclink('link-72', 'Triangle', 'link-72');">Triangle</a></tt><tt class="py-op">(</tt><tt class="py-name">xo</tt><tt class="py-op">,</tt> <tt class="py-name">xo</tt><tt class="py-op">+</tt><tt class="py-name">dx</tt><tt class="py-op">,</tt> <tt class="py-name">xo</tt><tt class="py-op">+</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-name">dx</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L495"></a><tt class="py-lineno">495</tt>  <tt class="py-line">        <tt class="py-name">xo</tt> <tt class="py-op">=</tt> <tt class="py-name">xo</tt> <tt class="py-op">+</tt> <tt class="py-name">dx</tt> </tt>
<a name="L496"></a><tt class="py-lineno">496</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">mfs</tt> </tt>
</div><a name="L497"></a><tt class="py-lineno">497</tt>  <tt class="py-line"> </tt>
<a name="L498"></a><tt class="py-lineno">498</tt>  <tt class="py-line"> </tt>
<a name="L499"></a><tt class="py-lineno">499</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="FlatSaw"></a><div id="FlatSaw-def"><a name="L500"></a><tt class="py-lineno">500</tt> <a class="py-toggle" href="#" id="FlatSaw-toggle" onclick="return toggle('FlatSaw');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.mf-module.html#FlatSaw">FlatSaw</a><tt class="py-op">(</tt><tt class="py-param">interval</tt><tt class="py-op">,</tt> <tt class="py-param">n</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FlatSaw-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="FlatSaw-expanded"><a name="L501"></a><tt class="py-lineno">501</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L502"></a><tt class="py-lineno">502</tt>  <tt class="py-line"><tt class="py-docstring">    Splits an ``interval`` into a decreasing ramp, ``n-2`` triangle functions</tt> </tt>
<a name="L503"></a><tt class="py-lineno">503</tt>  <tt class="py-line"><tt class="py-docstring">    and an increasing ramp.</tt> </tt>
<a name="L504"></a><tt class="py-lineno">504</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L505"></a><tt class="py-lineno">505</tt>  <tt class="py-line"><tt class="py-docstring">    Given an interval in any domain, this function will create a decreasing ramp</tt> </tt>
<a name="L506"></a><tt class="py-lineno">506</tt>  <tt class="py-line"><tt class="py-docstring">    in the start of the interval, ``n-2`` triangle functions of the same size</tt> </tt>
<a name="L507"></a><tt class="py-lineno">507</tt>  <tt class="py-line"><tt class="py-docstring">    equally spaced in the interval, and a increasing ramp in the end of the</tt> </tt>
<a name="L508"></a><tt class="py-lineno">508</tt>  <tt class="py-line"><tt class="py-docstring">    interval. It is very useful to create membership functions for controllers.</tt> </tt>
<a name="L509"></a><tt class="py-lineno">509</tt>  <tt class="py-line"><tt class="py-docstring">    The command below will create a decreasing ramp, a triangle function and an</tt> </tt>
<a name="L510"></a><tt class="py-lineno">510</tt>  <tt class="py-line"><tt class="py-docstring">    increasing ramp equally spaced in the interval (0, 2)::</tt> </tt>
<a name="L511"></a><tt class="py-lineno">511</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L512"></a><tt class="py-lineno">512</tt>  <tt class="py-line"><tt class="py-docstring">        mf1, mf2, mf3 = FlatSaw((0, 2), 3)</tt> </tt>
<a name="L513"></a><tt class="py-lineno">513</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L514"></a><tt class="py-lineno">514</tt>  <tt class="py-line"><tt class="py-docstring">    This is the same as the following commands::</tt> </tt>
<a name="L515"></a><tt class="py-lineno">515</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L516"></a><tt class="py-lineno">516</tt>  <tt class="py-line"><tt class="py-docstring">        mf1 = DecreasingRamp(0, 1)</tt> </tt>
<a name="L517"></a><tt class="py-lineno">517</tt>  <tt class="py-line"><tt class="py-docstring">        mf2 = Triangle(0, 1, 2)</tt> </tt>
<a name="L518"></a><tt class="py-lineno">518</tt>  <tt class="py-line"><tt class="py-docstring">        mf3 = Increasingramp(1, 2)</tt> </tt>
<a name="L519"></a><tt class="py-lineno">519</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L520"></a><tt class="py-lineno">520</tt>  <tt class="py-line"><tt class="py-docstring">    :Parameters:</tt> </tt>
<a name="L521"></a><tt class="py-lineno">521</tt>  <tt class="py-line"><tt class="py-docstring">      interval</tt> </tt>
<a name="L522"></a><tt class="py-lineno">522</tt>  <tt class="py-line"><tt class="py-docstring">        A tuple containing the start and the end of the interval, in the format</tt> </tt>
<a name="L523"></a><tt class="py-lineno">523</tt>  <tt class="py-line"><tt class="py-docstring">        ``(start, end)``;</tt> </tt>
<a name="L524"></a><tt class="py-lineno">524</tt>  <tt class="py-line"><tt class="py-docstring">      n</tt> </tt>
<a name="L525"></a><tt class="py-lineno">525</tt>  <tt class="py-line"><tt class="py-docstring">        The number of functions in which the interval must be split.</tt> </tt>
<a name="L526"></a><tt class="py-lineno">526</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L527"></a><tt class="py-lineno">527</tt>  <tt class="py-line"><tt class="py-docstring">    :Returns:</tt> </tt>
<a name="L528"></a><tt class="py-lineno">528</tt>  <tt class="py-line"><tt class="py-docstring">      A list of corresponding functions, in order.</tt> </tt>
<a name="L529"></a><tt class="py-lineno">529</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="L530"></a><tt class="py-lineno">530</tt>  <tt class="py-line">    <tt class="py-name">xo</tt><tt class="py-op">,</tt> <tt class="py-name">xf</tt> <tt class="py-op">=</tt> <tt class="py-name">interval</tt> </tt>
<a name="L531"></a><tt class="py-lineno">531</tt>  <tt class="py-line">    <tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">xf</tt> <tt class="py-op">-</tt> <tt class="py-name">xo</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L532"></a><tt class="py-lineno">532</tt>  <tt class="py-line">    <tt class="py-name">mf1</tt> <tt class="py-op">=</tt> <tt id="link-73" class="py-name" targets="Class peach.fuzzy.mf.DecreasingRamp=peach.fuzzy.mf.DecreasingRamp-class.html"><a title="peach.fuzzy.mf.DecreasingRamp" class="py-name" href="#" onclick="return doclink('link-73', 'DecreasingRamp', 'link-73');">DecreasingRamp</a></tt><tt class="py-op">(</tt><tt class="py-name">xo</tt><tt class="py-op">+</tt><tt class="py-name">dx</tt><tt class="py-op">,</tt> <tt class="py-name">xo</tt><tt class="py-op">+</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-name">dx</tt><tt class="py-op">)</tt> </tt>
<a name="L533"></a><tt class="py-lineno">533</tt>  <tt class="py-line">    <tt class="py-name">mfs</tt> <tt class="py-op">=</tt> <tt id="link-74" class="py-name" targets="Function peach.fuzzy.mf.Saw()=peach.fuzzy.mf-module.html#Saw"><a title="peach.fuzzy.mf.Saw" class="py-name" href="#" onclick="return doclink('link-74', 'Saw', 'link-74');">Saw</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">xo</tt><tt class="py-op">+</tt><tt class="py-name">dx</tt><tt class="py-op">,</tt> <tt class="py-name">xf</tt><tt class="py-op">-</tt><tt class="py-name">dx</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">n</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
<a name="L534"></a><tt class="py-lineno">534</tt>  <tt class="py-line">    <tt class="py-name">mf2</tt> <tt class="py-op">=</tt> <tt id="link-75" class="py-name" targets="Class peach.fuzzy.mf.IncreasingRamp=peach.fuzzy.mf.IncreasingRamp-class.html"><a title="peach.fuzzy.mf.IncreasingRamp" class="py-name" href="#" onclick="return doclink('link-75', 'IncreasingRamp', 'link-75');">IncreasingRamp</a></tt><tt class="py-op">(</tt><tt class="py-name">xf</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-name">dx</tt><tt class="py-op">,</tt> <tt class="py-name">xf</tt><tt class="py-op">-</tt><tt class="py-name">dx</tt><tt class="py-op">)</tt> </tt>
<a name="L535"></a><tt class="py-lineno">535</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-op">[</tt> <tt class="py-name">mf1</tt> <tt class="py-op">]</tt> <tt class="py-op">+</tt> <tt class="py-name">mfs</tt> <tt class="py-op">+</tt> <tt class="py-op">[</tt> <tt class="py-name">mf2</tt> <tt class="py-op">]</tt> </tt>
</div><a name="L536"></a><tt class="py-lineno">536</tt>  <tt class="py-line"> </tt>
<a name="L537"></a><tt class="py-lineno">537</tt>  <tt class="py-line"> </tt>
<a name="L538"></a><tt class="py-lineno">538</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L539"></a><tt class="py-lineno">539</tt>  <tt class="py-line"><tt class="py-comment"># Test.</tt> </tt>
<a name="L540"></a><tt class="py-lineno">540</tt>  <tt class="py-line"> </tt>
<a name="L541"></a><tt class="py-lineno">541</tt>  <tt class="py-line"><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt> <tt class="py-op">==</tt> <tt class="py-string">"__main__"</tt><tt class="py-op">:</tt> </tt>
<a name="L542"></a><tt class="py-lineno">542</tt>  <tt class="py-line">    <tt class="py-keyword">pass</tt> </tt>
<a name="L543"></a><tt class="py-lineno">543</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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